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On a probability inequality for multivariate normal distribution. (English) Zbl 0362.60037

MSC:
60E05 Probability distributions: general theory
62H99 Multivariate analysis
26D15 Inequalities for sums, series and integrals
52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
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References:
[1] Das Gupta S., Eaton M. L., Olkin I., Perlman M. D., Savage L. J., and Sobel M.: Inequalities on the probability content of convex regions for elliptically contoured distributions. Proc. Sixth Berk. Symp. on Math. Stat. and Prob. Vol. 11, (1972), 241-265. · Zbl 0253.60021
[2] Khatri C. G.: On certain inequalities for normal distributions and their applications to simultaneous confidence bounds. Ann. Math. Statist. 38, (1967), 1853-1867. · Zbl 0155.27103 · doi:10.1214/aoms/1177698618
[3] Šidák Z.: On probabilities in certain multivariate distributions: their dependence on correlations. Aplikace Matematiky 18, (1973), 128-135. · Zbl 0261.62041 · eudml:14800
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